List questions from sheaf-theory

Published on 03 Mar 2014 - 13:54

103

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Is there a name for a "rigid" sheaf?

Published on 05 Mar 2014 - 4:40

793

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Example of a Hausdorff sheaf of germs

Published on 08 Mar 2014 - 22:04

1k

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Sheafification - Construction of a Sheaf

Published on 10 Mar 2014 - 2:43

1.4k

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Example: Push-Forward Sheaf

Published on 10 Mar 2014 - 13:36

244

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Calculating the rank of $\widetilde{k[t]/(t)}$ on $Spec(k[t])$

Published on 26 Mar 2026 - 11:18

1.2k

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Each divisor arises from a rational section

Published on 25 Mar 2026 - 19:10

185

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The order of a rational section is zero at all but finitely many points

Published on 26 Mar 2026 - 13:51

1.1k

Views

Is this a sheaf?

Published on 20 Apr 2017 - 10:41

234

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How does this follow from the definition of a stalk?

Published on 20 Apr 2017 - 11:01

71

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Why is the class $[i^i_\mathcal{F}]$ not equal to $i^i_[\mathcal{F}]$ in K-theory?

Published on 28 Mar 2026 - 16:58

66

Views

Is $ \mathcal{F} \ : \ U \ \mapsto \ \prod_{x \in U} A_x $ a sheaf?

Published on 22 Apr 2017 - 7:41

271

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What are the sheaves in the $G$-equivariant resolutions seen as vector bundles?

Published on 25 Mar 2026 - 14:34

206

Views

Characterization of locally constant sheaves in terms of image functors

Published on 28 Mar 2026 - 3:27

99

Views

For a sheaf $F$ on $X$ and subspace $Z \hookrightarrow X$, why is $\mathbf{R}\Gamma(Z, F)$ possibly different from $\mathbf{R}\Gamma(Z,F|_Z)$?

Published on 26 Mar 2026 - 20:41

List Question

Presheaves and adjoint functors

Is there a name for a "rigid" sheaf?

Example of a Hausdorff sheaf of germs

Sheafification - Construction of a Sheaf

Example: Push-Forward Sheaf

Calculating the rank of $\widetilde{k[t]/(t)}$ on $Spec(k[t])$

Each divisor arises from a rational section

The order of a rational section is zero at all but finitely many points

Is this a sheaf?

How does this follow from the definition of a stalk?

Why is the class $[i^i_\mathcal{F}]$ not equal to $i^i_[\mathcal{F}]$ in K-theory?

Is $ \mathcal{F} \ : \ U \ \mapsto \ \prod_{x \in U} A_x $ a sheaf?

What are the sheaves in the $G$-equivariant resolutions seen as vector bundles?

Characterization of locally constant sheaves in terms of image functors

For a sheaf $F$ on $X$ and subspace $Z \hookrightarrow X$, why is $\mathbf{R}\Gamma(Z, F)$ possibly different from $\mathbf{R}\Gamma(Z,F|_Z)$?

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